Systems and Matrices Test

Area = 1/2 * |x1(y2 - y3) + x2(y3 - y1) + x3(y1 - y2)|, where (x1, y1), (x2, y2), (x3, y3) are the vertices.

For a matrix A = [[a, b], [c, d]], the determinant is ad - bc.

The dimensions of a matrix are given as rows x columns.

Two matrices A and B are multiplicative inverses if AB = I, where I is the identity matrix.

A 2x12 matrix has 12 columns.

An identity matrix is a square matrix with ones on the diagonal and zeros elsewhere.

Use the formula: Area = 1/2 * |x1(y2 - y3) + x2(y3 - y1) + x3(y1 - y2)|.

A determinant is a scalar value that is a function of the entries of a square matrix, providing important properties of the matrix.

A zero determinant indicates that the matrix is singular and does not have an inverse.

Two matrices are equal if they have the same dimensions and corresponding elements are equal.